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Finding the Fourth Proportional to 271,902.80, 407,911.80 and 82,347.60

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Solution

The fourth proportional to 271,902.80, 407,911.80 and 82,347.60 is: 123,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,902.80 : 407,911.80 = 82,347.60 : x
  2. Step 2: Convert to fraction form
    271,902.80/407,911.80 = 82,347.60/x
  3. Step 3: Cross multiply
    271,902.80x = 407,911.80 × 82,347.60
  4. Step 4: Simplify right side
    271,902.80x = 33,590,557,741.68
  5. Step 5: Solve for x
    x = 33,590,557,741.68/271,902.80
  6. Step 6: Final answer
    x = 123,538.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.